Answer:
0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 69, \sigma = 6[/tex]
What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall?
This is the pvalue of Z when X = 70 subtracted by the pvalue of Z when X = 68. So
X = 70
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 69}{6}[/tex]
[tex]Z = 0.17[/tex]
[tex]Z = 0.17[/tex] has a pvalue of 0.5675
X = 68
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{68 - 69}{6}[/tex]
[tex]Z = -0.17[/tex]
[tex]Z = -0.17[/tex] has a pvalue of 0.4325
0.5675 - 0.4325 = 0.1350
0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall
Evaluate the given function for x=5 please help !
Answer:
X = 3 - 3 * 2 x - 1 -
Step-by-step explanation:
1. Find the slope of the line through these points.(0,5) and (7,6)
Please help!
Exploring Patterns in Data - Item 32485
Which conclusion can best be made from this scatter plot?
Average Temperature ("F)
As average annual rainfall increases, average
temperature remains constant
As average annual ra
Answer:
there is no correlation .
Step-by-step explanation:
ive been doing those questions too for my algebra class.
Solve the equation and check your solution. (If an answer does not exist, enter DNE. If all real numbers are solutions, enter REALS.)
4 − 6x = 52
Answer:
i think its DNE but im not sure... sorry
Please help. DO NOT POST A WRONG ANSWER PLEASE
Answer:
Just answering this for that you can mark brainliest the person who answered right :-) and sorry for my English lol
round to the nearest tenth (IXL Pythagorean theorem)
The number of fish in a lake increased by 20% between last year and this year. Last year there were 55 fish in the lake. What is the population this year?
Answer:
66
Step-by-step explanation:
55x(20/100)=11
55+11=66
–11 ≥ h/13 help plz h/13 is a fraction
Step-by-step explanation:
-11 ≥ h/13
multiply both sides of the inequality by 13.
-143≥ h
Does this sample support a claim that more than 10% of job applicants in California test positive for drug use
Answer:
Following are the solution to this question:
Step-by-step explanation:
Please find the complete question in the attached file.
Let p become a screen positive for substance use throughout California
To test [tex]H_0 : p = 0.1_{against} \ H_0:p>0.1[/tex]
In California, [tex]\hat{P}[/tex] is a good test for medication and n seems to be the random sample.
The stats of the examination are given
[tex]\to z=\frac{\hat{p} -0.1}{\sqrt{\frac{0.1 \times 0.9}{n} }}_{\ that \ is \ under H_o \ follows \ a \ normal \ distribution}.[/tex]
They reject [tex]H_o \ at \ 5\%[/tex] if it's relevant:
[tex]\to |Z_{obs} |> Z_{0.05}\\\\Here\\\\ \to \hat{p} = \frac{145}{1200} = 0.121 \\\\ \to n = 1200\\\\ \to z_{obs} = 2.42487\\\\ \to Z_{0.05} = 1.64485[/tex]
[tex]\to z_{obs} = 2.42487 > z_{0.05}= 1.64485[/tex]
We, therefore, refuse [tex]H_o \ at \ 5\%[/tex] level and we can infer that such a test supports an argument which Upwards of 10% of California jobseekers screen positive for use of medicines.
A store in Melrose, Massachusetts advertised a 35-mm camera for $259.99 and a wide-angle lens for $89.99. What is the total purchase price if the state sales tax rate is 6 percent
Answer:
The total purchase price is $370.97.
Step-by-step explanation:
Given;
price of the 35-mm camera, = $259.99
price of the wide-angle lens = $89.99
TAX rate = 6% = 0.06
The total purchase price = 0.06($259.99 + $89.99) + ($259.99 + $89.99)
The total purchase price = $20.99 + 349.98
The total purchase price = $370.97
Therefore, the total purchase price is $370.97.
Laura tiene que resolver 9+ 8. Explica
cómo puede usar 8 + 8 para hallar la suma.
Answer:
Puede sumar 9 + 8 y luego restar 1 de eso para obtener la respuesta
Step-by-step explanation:
What value of “w” makes this proportion true?
0.6/1.6 = w/1.2
Answer:
w=0.45
Step-by-step explanation:
0.6/1.6=w/1.2
=>w=1.2 x 0.6/1.6
=>w=0.45
find the area of the circle. round your answer to the nearest hundredth
Answer:
The area of the circle is 8cm^2
Step-by-step explanation:
Answer:
3.14
Step-by-step explanation:
The area of the circle: pi times radius squared soo
radius 2cm divided by 2 equals 1 cm so pi times radius squared 3.14 × 1 squared so ur answer is 3.14
You charge 2500 to a credit card. Use the compound interest formula to find the new amount you owe on your credit card after 6 months 20% APR compounded daily (assuming you don’t make any payments)
Answer: Well This is what 24% APR on a credit card is?
If you have a credit card with a 24% APR, that's the rate you're charged over 12 months, which comes out to 2% per month. Since months vary in length, credit cards break down APR even further into a daily periodic rate (DPR). It's the APR divided by 365, which would be 0.065% per day for a card with 24% APR.
Step-by-step explanation:
PLEASE HELP PLEASEEEEE
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 5−x and y = 2x + 1 intersect are the solutions of the equation 5−x = 2x + 1.
Part B: Make tables to find the solution to 5−x = 2x + 1. Take the integer values of x between −3 and 3.
Part C: How can you solve the equation 5−x = 2x + 1 grap hically?
Answer:
y = 5 - x → standard form y = -x + 5
y = 2x + 1
A: If two sides of an equation are set equal to each other, their value is a point of intersection because they will both equal a certain value.
B:
3 → 5 - 3 = 2(3) + 1 → 2 = 6 + 1 → 2 ≠ 7
2 → 5 - 2 = 2(2) + 1 → 3 = 4 + 1 → 3 ≠ 5
1 → 5 - 1 = 2(1) + 1 → 4 = 2 + 1 → 4 ≠ 3
0 → 5 - 0 = 2(0) + 1 → 5 = 0 + 1 → 5 ≠ 1
-1 → 5 - (-1) = 2(-1) + 1 → 6 = -2 + 1 → 6 ≠ -1
-2 → 5 - (-2) = 2(-2) + 1 → 7 = -4 + 1 → 7 ≠ -3
-3 → 5 - (-3) = 2(-3) + 1 → 8 = -6 + 1 → 8 ≠ -5
algebraically ↓
-x + 5 = 2x + 1 → 4 = 3x → x = 4/3
C: graphically
graph both equations and find point of intersection
We know these points are the solutions to [tex]5-x=2x+1[/tex] because by setting the two equations equal to each other, we find where they intersect, and those points are the solutions to the equation.
Part B[tex]\begin{array}{|c|c|c|c|}\cline{1-4}\bf x&\bf5-x&\bf2x+1&\bf5-x=2x+1\\\cline{1-4}-3&8&-5&8\neq-5\\\cline{1-4}-2&7&-3&7\neq-3\\\cline{1-4}-1&6&-1&6\neq-1\\\cline{1-4}0&5&1&0\neq1\\\cline{1-4}1&4&3&4\neq3\\\cline{1-4}2&3&5&3\neq5\\\cline{1-4}3&2&7&2\neq7\\\cline{1-4}\end{array}[/tex]
Part B and a halfSince none of those values are correct solutions, let's solve this equation algebraically, even though the question doesn't ask for us to do so.
[tex]\begin{aligned}5-x&=2x+1\\-x&=2x+1-5\\-x-2x&=1-5\\-3x&=-4\\x&=\boxed{\frac{4}{3}}\end{aligned}[/tex]
Part CWe can solve the equation graphically by graphing both [tex]y=5-x[/tex] and [tex]y=2x+1[/tex], then finding where they meet. This is shown in the attachment below.
Determine if (1, 3) is a solution to the given system of linear equations. 5x+y=8 x+2y=5
Answer:
No, because substituting the given ordered pair doesn't yields two true expressions
Step-by-step explanation:
5x + y = 8
5 + 3 = 8 so thats correct
x + 2y = 5
1 + 6 =7, not 5
so only 1 is correct
Due in 1 minute please help I-ready
Answer:
29 1/3
Step-by-step explanation:
All I did was 1760/60 and got that! I hope its right and I hope this helps!!
Simplify sin θ/cosθ tan θ to a number or a single trigonometric function
Answer:
The answer is below
Step-by-step explanation:
Trigonometric functions are functions used in right angled triangles to relate an angle in the triangle to the ratio of two side. The most common trigonometric functions are the sine, the cosine, and the tangent.
Some trigonometric identities are:
secθ = 1/ cosθ, cosecθ = 1 / sinθ, tanθ = sinθ / cosθ, cotθ = 1 / tanθ = cosθ / sinθ.
Hence simplifying the question:
[tex]\frac{sin\theta}{cos\theta tan\theta} =\frac{sin\theta}{cos\theta *\frac{sin\theta}{cos\theta} }\\\\=\frac{sin\theta}{sin\theta}\\\\=1[/tex]
If you start a bank account with $100 and you deposit $25 each month, what equation
correctly represents this situation?
Step-by-step explanation:
so you start with $100
every month you get $25
so you could call $25 n
so every month you get n added to the bank account
so you could call the $100 s (which represents start)
and do s+n for every month and if you need to show that for a year then:
s+(nx12)
Can someone help me
Answer:
y=2x
...............mm.
Simplify each expression using the order of operations.
13(-3 + n)
pls hurry my sister needs to turn this in soon
Answer:
I believe the answer is -39+13x
Step-by-step explanation:
The coordinates of point Care
A. (3,-1)
B. (1, -3)
C. (3,1)
D. (-3,1)
E. (-3,-1)
Answer: (-1,3)
Step-by-step explanation:
what is the solution to the system of equations
Answer:
Infinitely many solutions
Step-by-step explanation:
These equations are the same. The only difference being one is written in fractions and the other is in decimals. Since they are the same, they will have infinitely many solutions.
plz help me!?!?
and thank u
Answer:
-4.8+2.5-7.8
= -10.1
Step-by-step explanation:
Are the ratios proportional?
10/12 and 20/32
Answer:
no they arent
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
10/12 can be simplified as 5/6 however 20/32 turns to 10/16 which then can be simplified to 5/8
In a certain town, 23% of males have a beard. In random samples of 25 men from
this town, what are the mean and standard deviation of the number of men with
a beard?
Answer:
Mean μ = 5.75
Standard deviation σ = 2.1041
Step-by-step explanation:
Step(i):-
Given that the size of the sample 'n' = 25
Given proportion p= 23% = 0.23
Let 'X' be the random variable in a binomial distribution
Mean μ = np = 25 × 0.23 = 5.75
Step(ii):-
Standard deviation
σ = √npq
σ = [tex]\sqrt{25 X 0.23 X0.77}[/tex]
σ = 2.1041
The two quantitative elements of process variation are: Select one: a. common cause and special cause b. median and variance c. central tendency and spread d. inspection and detection
Answer:
The two quantitative elements of process variation are:
a. common cause and special cause.
Step-by-step explanation:
When a process fails to follow the prescribed process pattern, with reduced productivity, higher costs, longer lead times, and late deliveries, a process variation has occurred. Thus, process variation is a leading cause of quality issues. There are common cause variation, which is inherent in the system itself, and special cause variation, which is caused by external factors outside of the system. Process variations can be reduced by reducing the common and special cause variations, among other steps.
IXL pls help!.....................
Answer:
7 meters
Step-by-step explanation:
Simple solving method:
15 - 8 = 7
Answer:
7 meters
Step-by-step explanation:
yayayayayayayay
100 percent increase followed by a 50 percent decrease
Answer:
sounds like it stayed at 50 percent dawg
Which expression is a difference of a number and a product?
A.10-8x
B. 7+x
C.8 + x-2
D. 4(x +7)
Please answer truely this is a hard test
Answer:
c. i think
Step-by-step explanation:
Answer:
Is he right about that?
Step-by-step explanation: